{"id":"W2763550211","doi":"10.1016/j.jalgebra.2018.02.005","title":"Skew and linearized Reed–Solomon codes and maximum sum rank distance codes over any division ring","year":2018,"lang":"en","type":"preprint","venue":"Journal of Algebra","topic":"Cooperative Communication and Network Coding","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Danmarks Frie Forskningsfond","keywords":"Mathematics; Reed–Solomon error correction; Skew; Hamming distance; Coding theory; Discrete mathematics; Reed–Muller code; Rank (graph theory); Linear code; Block code; Hamming code; Linear network coding; Expander code; Combinatorics; Algorithm; Decoding methods; Computer science; Telecommunications","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009204732,0.0005557195,0.0005895857,0.001062857,0.0009715937,0.001953699,0.0006599369,0.000716331,0.00399504],"category_scores_gemma":[0.00512886,0.0003702078,0.0003954068,0.0009898621,0.002013812,0.002979177,0.00194244,0.001614775,0.0007989309],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009807886,"about_ca_system_score_gemma":0.001157899,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003785256,"about_ca_topic_score_gemma":0.0003633786,"domain_scores_codex":[0.9988933,0.0003137375,0.00005769902,0.000168358,0.0003407531,0.0002260982],"domain_scores_gemma":[0.9965236,0.001456128,0.0008467711,0.0004351253,0.0004729704,0.0002654199],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003182635,0.00003891961,0.0005331156,0.00005438115,0.00001446386,0.0001362994,0.0002804623,0.01361948,0.00395932,0.9651788,0.00141899,0.01444752],"study_design_scores_gemma":[0.00003414263,0.00006137062,0.0003030007,0.0000175782,0.00001260578,0.0002683797,0.0001124493,0.04453056,0.004593516,0.9473443,0.002677655,0.00004451687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.651986,0.001347325,0.2914875,0.003353407,0.000264544,0.00008032943,0.000550934,0.0004588256,0.05047104],"genre_scores_gemma":[0.9737708,0.0004255949,0.01214509,0.0002666228,0.0002389325,0.00003974856,0.0001419236,0.00006373646,0.01290756],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00399504,"threshold_uncertainty_score":0.01336473,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0279234891158574,"score_gpt":0.2910732230441835,"score_spread":0.2631497339283261,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}